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HOPF BIFURCATIONS AND TRANSITIONS OF TWO-DIMENSIONAL QUASI-GEOSTROPHIC FLOWS

期刊: COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2021; 20 (4)

This study examines the Hopf (double Hopf) bifurcations and transitions of two dimensional quasi-geostrophic (QG) flows that model various large-scale......

KDV-TYPE EQUATION LIMIT FOR ION DYNAMICS SYSTEM

期刊: COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2021; 20 (4)

In this paper, we consider the KdV-type limit for ion dynamics system. Under the Gardner-Morikawa type transforms, we derive the KdV-type equation by ......

NONLINEAR STABILITY OF RAREFACTION WAVES FOR A HYPERBOLIC SYSTEM WITH CATTANEO'S LAW

期刊: COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2021; 20 (7-8)

This paper is concerned with the time-asymptotically nonlinear stability of rarefaction waves to the Cauchy problem and the initial-boundary value pro......

W-1,W-p ESTIMATES FOR ELLIPTIC SYSTEMS ON COMPOSITE MATERIAL WITH ALMOST PARTIALLY BMO COEFFICIENTS

期刊: COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2021; 20 (9)

In this paper, we establish uniform W-1,W-p estimates for composite material problems which can be described by a divergence form elliptic system on a......

A DEGENERATE ELLIPTIC PROBLEM FROM SUBSONIC-SONIC FLOWS IN CONVERGENT NOZZLES

期刊: COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2021; 20 (7-8)

This paper concerns continuous subsonic-sonic potential flows in a two dimensional convergent nozzle, which is governed by a free boundary problem of ......

DELTA WAVES AND VACUUM STATES IN THE VANISHING PRESSURE LIMIT OF RIEMANN SOLUTIONS TO BAER-NUNZIATO TWO-PHASE FLOW MODEL

期刊: COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2021; 20 (9)

The phenomena of concentration and cavitation for the Riemann problem of the Baer-Nunziato (BN) two-phase flow model has been investigat-ed in this pa......

JUMP AND VARIATIONAL INEQUALITIES FOR AVERAGING OPERATORS WITH VARIABLE KERNELS

期刊: COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2021; 20 (5)

In this paper, we prove that the jump function and variation of averaging operators with rough variable kernels are bounded on L-2(R-n) if Omega is an......

FREQUENCY DOMAIN APPROACH TO DECAY RATES FOR A COUPLED HYPERBOLIC-PARABOLIC SYSTEM

期刊: COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2021; 20 (7-8)

We consider the asymptotic behavior of a linear model arising in fluid-structure interactions. The system is formed by a heat equation and a wave equa......

SUBELLIPTICITY OF SOME COMPLEX VECTOR FIELDS RELATED TO THE WITTEN LAPLACIAN

期刊: COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2021; 20 (7-8)

We consider some system of complex vector fields related to the semi-classical Witten Laplacian, and establish the local subellipticity of this system......

EXTREMAL FUNCTIONS FOR A CLASS OF TRACE TRUDINGER-MOSER INEQUALITIES ON A COMPACT RIEMANN SURFACE WITH SMOOTH BOUNDARY

期刊: COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2021; 20 (4)

In this paper, we establish several trace Trudinger-Moser inequalities and obtain the corresponding extremals on a compact Riemann surface (Sigma, g) ......

THE CURVED SYMMETRIC 2-AND 3-CENTER PROBLEM ON CONSTANT NEGATIVE SURFACES

期刊: COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2021; 20 (9)

We study the motion of the negative curved symmetric two and three center problem on the Poincare upper semi plane model for a surface of constant neg......

ASYMPTOTIC BEHAVIORS OF SOLUTIONS TO A SIXTH-ORDER BOUSSINESQ EQUATION WITH LOGARITHMIC NONLINEARITY

期刊: COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2021; 20 (4)

To understand the characteristics of dynamical behavior especially the kinetic evolution for logarithmic nonlinearity, we aim to study a sixth-order B......

MULTIPLICITY AND CONCENTRATION OF POSITIVE SOLUTIONS TO THE FRACTIONAL KIRCHHOFF TYPE PROBLEMS INVOLVING SIGN-CHANGING WEIGHT FUNCTIONS

期刊: COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2021; 20 (9)

The aim of this paper is to study the multiplicity and concentration of positive solutions to the fractional Kirchhoff type problems involving sign-ch......

NUMERICAL ANALYSIS OF A THERMAL FRICTIONAL CONTACT PROBLEM WITH LONG MEMORY

期刊: COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2021; 20 (4)

The objective in this paper is to study a thermal frictional contact model. The deformable body consists of a viscoelastic material and the process is......

DYNAMICS OF A 3D BRINKMAN-FORCHHEIMER EQUATION WITH INFINITE DELAY

期刊: COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2021; 20 (5)

This paper is concerned with the pullback dynamics and asymptotic stability for a 3D Brinkman-Forchheimer equation with infinite delay. The well-posed......

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